Abstract
The type-II Weyl and type-II Dirac fermions may emerge behind the event horizon of black holes. Correspondingly, the black hole can be simulated by creation of the region with overtilted Weyl or Dirac cones. The filling of the electronic states inside the “black hole” is accompanied by Hawking radiation. The Hawking temperature in the Weyl semimetals can reach the room temperature, if the black hole region is sufficiently small, and thus the effective gravity at the horizon is large.
Similar content being viewed by others
References
H. Weyl, I. Z. Phys. 56, 330 (1929).
J. von Neumann and E. Wigner, Phys. Z. 30, 467 (1929).
S. P. Novikov, Sov. Math. Dokl. 23, 298 (1981).
G. E. Volovik, JETP Lett. 46, 98 (1987).
G. E. Volovik, The Universe in a Helium Droplet (Clarendon, Oxford, 2003).
G. E. Volovik and V. A. Konyshev, JETP Lett. 47, 250 (1988).
T. D. C. Bevan, A. J. Manninen, J. B. Cook, J. R. Hook, H. E. Hall, T. Vachaspati, and G. E. Volovik, Nature 386, 689 (1997).
M. Krusius, T. Vachaspati, and G. E. Volovik, condmat/ 9802005.
G. E. Volovik, Physica B 255, 86 (1998).
C. Herring, Phys. Rev. 52, 365 (1937).
A. A. Abrikosov and S. D. Beneslavskii, Sov. Phys. JETP 32, 699 (1971).
A. A. Abrikosov, J. Low Temp. Phys. 5, 141 (1972).
H. B. Nielsen and M. Ninomiya, Phys. Lett. B 130, 389 (1983).
A. A. Burkov and L. Balents, Phys. Rev. Lett. 107, 127205 (2011).
A. A. Burkov, M. D. Hook, and L. Balents, Phys. Rev. B 84, 235126 (2011).
H. Weng, Ch. Fang, Zh. Fang, B. A. Bernevig, and X. Dai, Phys. Rev. X 5, 011029 (2015).
Sh.-M. Huang, S.-Y. Xu, I. Belopolski, et al. (Collab.), Nat. Commun. 6, 7373 (2015).
B. Q. Lv, H. M. Weng, B. B. Fu, et al. (Collab.), Phys. Rev. X 5, 031013 (2015).
S.-Y. Xu, I. Belopolski, N. Alidoust, et al. (Collab.), Science 349, 613 (2015).
L. Lu, Zh. Wang, D. Ye, L. Ran, L. Fu, J. D. Joannopoulos, and M. Soljacic, Science 349, 622 (2015).
A. A. Soluyanov, D. Gresch, Zh. Wang, Q. Wu, M. Troyer, X. Dai, and B. A. Bernevig, Nature 527, 495 (2015).
Y. Xu, F. Zhang, and Ch. Zhang, Phys. Rev. Lett. 115, 265304 (2015).
T.-R. Chang, S.-Y. Xu, G. Chang, et al. (Collab.), Nat. Commun. 7, 10639 (2016).
G. Autes, D. Gresch, A. A. Soluyanov, M. Troyer, and O. V. Yazyev, arXiv:1603.04624.
S.-Y. Xu, N. Alidoust, G. Chang, et al. (Collab.), arXiv:1603.07318.
J. Jiang, Z. K. Liu, Y. Sun, et al. (Collab.), arXiv:1604.00139.
T. E. O’Brien, M. Diez, and C. W. J. Beenakker, arXiv:1604.01028.
L. Huang, T. M. McCormick, M. Ochi, Z. Zhao, M. Suzuki, R. Arita, Y. Wu, D. Mou, H. Cao, J. Yan, N. Trivedi, and A. Kaminski, arXiv:1603.06482.
N. Xu, Z. J. Wang, A. P. Weber, et al. (Collab.), arXiv:1604.02116.
K. Deng, G. Wan, P. Deng, et al. (Collab.), arXiv:1603.08508.
A. Liang, J. Huang, S. Nie, et al. (Collab.), arXiv:1604.01706.
M. N. Ali, J. Xiong, S. Flynn, J. Tao, Q. D. Gibson, L. M. Schoop, T. Liang, N. Haldolaarachchige, M. Hirschberger, N. P. Ong, and R. J. Cava, Nature 514, 205 (2014).
Y. Wu, N. H. Jo, D. Mou, L. Huang, S. L. Bud’ko, P. C. Canfield, and A. Kaminski, arXiv:1604.05176.
Y. Xu, F. Zhang, and C. Zhang, Phys. Rev. Lett. 115, 265304 (2015).
Z. Yu, Y. Yao, and S. A. Yang, arXiv:1604.04030.
M. Udagawa and E. J. Bergholtz, arXiv:1604.08457.
A. A. Zyuzin and R. P. Tiwari, arXiv:1601.00890.
G. E. Volovik and M. A. Zubkov, Nucl. Phys. B 881, 514 (2014).
P. Huhtala and G. E. Volovik, J. Exp. Theor. Phys. 121, 995 (2002); gr-qc/0111055.
G. E. Volovik, arXiv:1604.00849.
P. Painlevé, C. R. Hebd. Seances Acad. Sci. 173, 677 (1921); A. Gullstrand, Ark. Mat., Astron. Fys. 16, 1 (1922).
W. G. Unruh, Phys. Rev. Lett. 46, 1351 (1981).
W. G. Unruh, Phys. Rev. D 51, 2827 (1995).
P. Kraus and F. Wilczek, Mod. Phys. Lett. A 9, 3713 (1994).
C. Doran, Phys. Rev. D 61, 067503 (2000).
V. A. Kostelecky and N. Russell, Rev. Mod. Phys. 83, 11 (2011).
G. E. Volovik, JETP Lett. 91, 55 (2010); arXiv:0912.0502.
C. Barcelo, S. Liberati, and M. Visser, Class. Quantum Grav. 18, 1137 (2001).
O. Lahav, A. Itah, A. Blumkin, C. Gordon, S. Rinott, A. Zayats, and J. Steinhauer, Phys. Rev. Lett. 105, 240401 (2010).
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Volovik, G.E. Black hole and hawking radiation by type-II Weyl fermions. Jetp Lett. 104, 645–648 (2016). https://doi.org/10.1134/S0021364016210050
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364016210050